Solve the Inequality for z -8-8z<=-3

$- 8 - 8 z \leq - 3$

Move all terms not containing $z$ to the right side of the inequality.

Add $8$ to both sides of the inequality.

$- 8 z \leq - 3 + 8$

Add $- 3$ and $8$ .

$- 8 z \leq 5$

Divide each term in $- 8 z \leq 5$ by $- 8$ and simplify.

Divide each term in $- 8 z \leq 5$ by $- 8$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 8 z}{- 8} \geq \frac{5}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 z}{- 8} \geq \frac{5}{- 8}$

Divide $z$ by $1$ .

$z \geq \frac{5}{- 8}$

Simplify the right side.

Move the negative in front of the fraction.

$z \geq - \frac{5}{8}$

The result can be shown in multiple forms.

Inequality Form:

$z \geq - \frac{5}{8}$

Interval Notation:

$[- \frac{5}{8}, \infty)$

Solve the Inequality for z -8-8z<=-3

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